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Finding the Fourth Proportional to 632.46, 943.22 and 577.78

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Solution

The fourth proportional to 632.46, 943.22 and 577.78 is: 861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.46 : 943.22 = 577.78 : x
  2. Step 2: Convert to fraction form
    632.46/943.22 = 577.78/x
  3. Step 3: Cross multiply
    632.46x = 943.22 × 577.78
  4. Step 4: Simplify right side
    632.46x = 544,973.65
  5. Step 5: Solve for x
    x = 544,973.65/632.46
  6. Step 6: Final answer
    x = 861.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.